{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# `SVM`\n",
    "- 用于线性或非线性分类、回归、异常检测\n",
    "- 用于复杂但中小量的数据\n",
    "- 对特征值的量级非常敏感，数据通常会先归一化处理\n",
    "- 硬间隔分类模型，数据必须是线性可分的，对异常点非常敏感\n",
    "- 软间隔分类模型，允许部分数据不满足约束\n",
    "- 超参数 $C$，其值越小，允许不满足约束的数据点越多"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.svm import LinearSVC\n",
    "clf = LinearSVC(C=1, loss='hinge')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- `SVC(kernal='linear',C=1)` 大数据集训练得很慢\n",
    "- `SGDClassifier(loss='hinge',alpha=1(m*C))` 运用随机梯度下降方法训练线性 `SVM` 分类器，以处理大量数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy import stats\n",
    "\n",
    "import seaborn as sns\n",
    "sns.set()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x7f9b48f81490>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.datasets import make_blobs\n",
    "\n",
    "x, y = make_blobs(n_samples=50, centers=2, random_state=0, cluster_std=0.60)\n",
    "plt.scatter(x[:, 0], x[:, 1], c=y, s=30, cmap=\"autumn\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-1, 3.5)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 不同的分割平面\n",
    "\n",
    "xfit = np.linspace(-1, 3.5)\n",
    "\n",
    "plt.scatter(x[:, 0], x[:, 1], c=y, s=30, cmap='autumn')\n",
    "plt.plot([0.6], [2.1], 'x', color='red', markeredgewidth=2, markersize=10)\n",
    "\n",
    "for m, b in [(1, 0.65), (0.5, 1.6), (-0.2, 2.9)]:\n",
    "    plt.plot(xfit, m * xfit + b, '-k')\n",
    "\n",
    "plt.xlim(-1, 3.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-1, 3.5)"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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RG5tILl02JOu1+pLzsG3b2iuAqXk8hH/6S5LXXDt0GQeKrmN/5SWkTW+iVdeQvOoadJ8fgMr3X4Njw/OFX+Z2c3zbLvCU0KEoGqX2zJMRTpzI+wx0SUJtaKR7/SsFF7excp/nMtFlyrpbTpBIyAiCiMPhGLS7RdNUTj/9lCHLYVnso4R45DCu//tTryIhQdPQYzFcv/8d8TvvHiXpSkd69RUqP3wjaCpCIoHudKJ7fQT/+tigCnts7Tux7eosmJUixmK4H/zFyCh2QSB17vmkzj2/1yFpy+aiL9NtNmz79pbkNnE98heIy70+A0FREPfvw/7iC6QuuGjI57coHdPdEgx2o6oKNpt92N0tfWHlsY8S0muvotsLb8tEOY5j7ZoRlqh8CMEAlR+6HjEURIxEEFIpxEgE8egRKm+4GhRlwOcSjx5Bt9uLHz9yuBwil4RWXSTFEhCSKbTqmpLOL736ciaHvtD5pbc3lXR+i6GTSMgcO3aEvXs7OXHiOKJow+XyYO/jnh0JLIt9tHC7ipbFA+jpwpvxgHDkCJ6f34fzsb8bWSfz6gsOyRB03ege+VQrySuuGtC5labm4q0PRBHlfaeXJHs5iN/+afzf+roRBM/BaM1wZsk+cG3yFHRJQiiwIOoOO1pNaQuHxeDQNA1ZjtHd3Y0sx8qW3aLrOm+99SarVj1KV9cx1q9fP+RzWYp9lEhecDEUCW9oHi/yhz9a8NhYQ9y3l+plixHCYYSUUWUqHthfvFOjLGPbuQMGqNj1ujoSV1yFY/WTiIkebX2dTuJ3/kNJ8pcD+bZP4H92LdrGFzOWtebxgNdL+P5flnz+xM0fwfPgLwrudARNI3nVNSVfw6J/VFUhEgkTCJxAVVVsNiO7pVSFHo/HeeaZdaxa9Sj79u2lqqqKD3/4IyWdc1CK/f777+enP/0pjz32GPPnj0IO8kTC5SJy7334774D4vGM8a653ShnLBqwRTva+P7tXxGCgbwKU0HT0Cm8IdGdLrQZg8vvDv/451SEb8WxcQO6aEO0iWiqRvgnP0c55X2lvYFyYLfD6tWE//cvuB7+PUI0SnL5FcgfugW9orLk06uNTUS/9K94f/h9kOMIuo4uSWC3E/rJL9D9FWV4ExbFSCYThEIBQqEQoGO3O7AXcaMOhkOHDvH4439n7do1RKNRGhub+NKX/oWLL16MrY/xngNhwIp9y5YtbNq0ienTp/f/ZIsBkbjhA6gzZuH5wXdxbtmMUllF/BOfRr7tE+XLfR5OFAXHU60F2wYUtWFEgcSVg7QwPR5CD/8VW/tOpNdfpWLmFLoWXTDg8X8jgs1G8oqrhm1Bjt/1JVIXXIT7wQew7dmFctIpxD/zBavD5DCh63omu0WW4wiCgNPpQBBKC0vqus7bb29i1aq/8corLyOKIhdeeBHXXHMdCxYszFj/I9JSIJlM8s1vfpN7772X224rMn/SYkgo55xL6M+PUlfnp3uMpYH1i6JAEZcLpBtsORwIySSa2w2iSOj3fxqyQlYbm4ze+nV+GG+fVRlQzjyb8AArZi2GhqqqmWIiRVGQJFtZ/OeyLPPss0+zatWj7Nmzm4qKSm666WauuuoaJk2aVCbpswxIsd93332sXLmSWbNmDekitbVjLxBYV+cfbRF6Mf5k8kNTE7S1FTwqLFwIH/oQtLcjnnoqfOxjVBVr0lVWuUaYdKxkTMmUxpJpYPj9drq7u+nq6kLXdSoq3Ehl2DUfOXKERx55hMcee4xwOExTUxNf+cpXWLp0KU6ns+jrkgW6og6GfiV/66232Lx5M//0T/805ItYBUr9M15lcnztG1R85uMIOUVWYBTmBL/+bVKXLs0+qFEWS3ssfFZCJIznu9/C9YffI0QiCI2NhP7xyyRuvGlU5cplLHxOPRlLMpnuFk2Lc+RIF6JoFhPZiMcVYOBpuT3P++67m1m16lFeemkjAOeffwErV17PSSedjCAIJJM6yWTvGb8mw+6Kee211+js7GTpUuMLevjwYW6//Xb+67/+iwsvvLCki1uMf5IrriT8g5/g+7cvpycU6eD2EP7uvflKfSKRSFB15TJsuzqyqZjt7fi/9EXEA/uI3/Wl0ZXPok9UVSUajRAIdKEoKSoqvGXJbkkmkzz33DOsWvU3Ojs78fv9vP/9N3HVVdcweYTbPgy6pcCSJUt44IEHBpUVY1ns/TPuZVJVbNu3gSCgtizosxXuSMglvf0Wnh99H+mN19Grq4nf/mkjhbQMhSPOP/0B379+qWDRkO5y0fXuzrJkw5TKuL+nykwymSQcDhAKBdF1Hbvdjs0m4fe7CIeLW8/9cfz4MZ544jFWr36SUCjInDlzufba67nkkiW4Ck0o6wdd11HVFIsWnTZkmcZB6oXFuMBmQz3p5NGWAgDH6ieo+OwnQE6X4R85jO+er+J87O8E//hIyRlHrr/+uWglqG63Y9+w3sotHyOYo+aCwRPEYjEEQcBudyCWaHjous7WrVtYtepRNm7cAMA555zHypXXceqp7xuU9a+qKqqqoCgpkskUipJEkkqTb9B3+DPPPFPSBS0shpVUCv+dn+3l8xficaTXX8P5xCoS195Q2jXU4plA6PSZKTTaiHv34Fz9OCSSpBZfMiYqd4eDrLvlBIqSwmYrT3ZLKpVk/frn+fvf/0Z7+058Ph/XX/9+rrrqGqZOndbv63VdQ1FUFCWVVuRJdF1LHwNRFLHZSre3LYvdYkJhf2kj6IUVqxiL4vr9QyUr9sT170d649WCA0SEVIrUhWOwIZeu4/3Gv+H+zYOAbrR8+MF3SZ1zHsH/+SMMwWUwFjHcLUFCoUDG3VKOZlxdXcd58snHWb36CQKBALNnz+GOO+5iyZKlRc+v6zqapqIoCqlUklQqhaIomUacgiAgiiKCYO/1Or3IPTxQLMVuMaEwBnoUt8pyB2gPFfmGD+D+6Y8Q9u/Lm66kuz3EPvsF9BKbfg0Hzkf+gut3v0HIbcugKNhffhHfPV8h8v9+NHrClUjW3dJNLO0iczicJbtbALZv38aqVY+yYcPzaJrG2Wefw8qV13Paaaf3sv4NJW5Y44Yiz09ZFEUbkiQV3TWoqoqmaYiiiLfIDN6BYil2iwlF6owzizcNc7pILlte+kU8HgJrnsF7z9dwPfp/oCgIkycTuftfjKrhMYjnvh8U3mHIMq4//YHIN74ztip5B4CqqsRiEbq7T5BKldPdkuKFFzbw97//jR07tuPxeLjmmuu45pqVTJtmVN7rukYqpWRcKqlUClVVEYR8l8pAZFEUBdCQJAd+fwV2u8Oy2C3GAJqG/flncbSuBoeDxMrrUBadNeyTjQqhT56M/IEP9h5gIgjoLhfx224vz3Wqa4j89BdEfnw/yDJ1c6YgH4+U5dzDgbh3T9FjuiAgHjuKNnvOCEo0dFKpJOGw0ftc03QcDjvuMixK3d3drF79OE888Tjd3SeYMWMmn/vcHSxdugyn04GiqESj4bQ1ruQocQFBEAfVqtfIfDHy5F0uNy6XJ68gqtTxR5ZityiNaJSqG67GtmM7QjQKgoD7f35LcsllhB58CEpsZjQUIt//MbrXh/t//hvdLiGkUihNzYR/8Wv0urryXsxmA693VBaxwaBNmYq4q7PgMUFV0WrLX9ZeTrLulgCxWDitSEvPbgFoa2vj4Yf/xPPPP4eipFi06CyuvvofOPnkk1EUhXg8QjRqaFpB6N+l0heqqqLrKoJgw+Px43I5EcXyf0csxW5REr57voK09d2s+0PXIRbD8fRTuB98gPhnvzDyQkkS0W99l+iX/w2psx2tqnrcWKPDRfzzX8R7z1cR4z16xjudJK65zlicxiCapmWyW1KpJKJow+ksvZhIURQ2bnyBVav+xrZtW3G53CxdehmXXbYsU0wUj8cQBBFRtGGzlX49Xdew2x243RVDGpc3GCzFbjF0Eglcf/ljQZ+2EI/jfuD+0VHsJj4fyqlDL/KYSMi3fgz7yy/ifPJxSMgImobm9aHOqyfyvR+Mtni9SKVShMNBgsEAuq4hSaVnt+i6Tnd3F6tXr2b16ic4caKLyZMn89GPfpTzzrsQr9eLKIpl2QWY1zPdLU6nC7fbgySNzGQlS7FbDBkhGEy3cCyMeOzYyAlj0TeiSPgXvya+6U2cjz4CiQSpy5aRvPSyYa0SHgy6rpNIyASD3USjkZKLiTRNSxf+KOzY0cbq1U/w0ksvkkqlOPnkU/j4xz/BaaedjtfrQpZT/Z9wwNdVUVUju8Xj8eFyuYbF3dIXlmJ/DyBtfhvPf/4Hjhc3gGgjccVVRL96D9qcuSWdV6+uRpdsCIWTUFBnzCzp/BblRzntDJTTzij9RPE49pc2ImgqqbPPLamFgqZpxGKGuyWZTA5p1JxpHauqSjKZzKQbvvHGGzz1VCttbW04nU4WL76Eyy9fwcyZ5b83VVVB13UkScLrHX53S19Yin2CI73+KlXvXwnxWCa72/n3R3A8s47upzeU5nu224nfdjue3z6IIPfo7ujxEL/rH4d+bosxi+uh3+L9j6+lLX0BIZUkdufdxP7py4MKIqdSKSIRM7tFRZIcA3K3GIU/hjWeShk544qSymSSRKNRnn/+OdatW0tXVxd1dXXccsutXHLJpSXnhxeSZbTcLX1hKfYJju/LX0LoETATNA0iYbzf/Rbhnz9Y0vljX70HqaMdx/pnjcEbogiCQPzDtyJ/+NaSzm0x9nC0rsZ3z1d6tWzw/Ow+tNpJyJ/4VJ+vN7NbQqEAkYjRDMwoJiremzzXpWJa4kZ1ppmlYuSM79u3j9bWNWzcuIFkMslJJ53Mbbd9nDPOWFQ2v3lWptF3t/SFpdgnMEKgG2nb1sLHVBXH6sdLv4jDQej3f8T27mYczz4NdonEiqvQ5s4r/dwWYw7Pd/+zl1IHo+LXe+93kT92e0GfveFuiRIIHKarK1i0mMiwgI2mWKZLJbc3uVGGb8sZIafxxhtv0Nq6mq1bt+BwOLjwwotYvnwFs2bNLvO7N90tGjabnYoKPw6Hc9TcLX1hKfaJjKr1uTUWytisSj35FOInn1K281mMTaQi07IAhFAQIdCNXpOdkqUoSmbUnKYpVFX5cbs9meOFOhvmnLFoBWckEuH5559l7dpWjh07xqRJk7j55g9z6aVL8fnKO7Gtp7vF5XIjSfYxqdBNLMU+gdFralBnzUbqaO99TBBILl4yClJZjGd0nxchEChyUEf3GD5sWZbT7hajN4/D4QCkzNQisylWbum8IPRfhr9//35aW9fwwgvrSSQStLQs4JZbbmXRojOxlbkYTtM0NE1BEMamu6UvLMU+kREEIt/+f1R+7JaCwc3oV/59lASzGK/IN38E929+hdBjJqcuScjLrySqKgQO7EGWjWZjgiCgKCni8RiKouB0SiSTSo5LpX9FqWkamza9RWvrGjZvfge73c4FF1zI5ZevYO7cuWV/j6qqoGlG7rzfX4nDUXr/mYEiyzLt7TuJxaKcfvrQd8CWYp/gpJZcRvChP+D7969g6+wAdFKnLyL6X99HXbBwtMWzGGfE/vkrOJ59GnHvnkxTsUR1Ncff9z723XUX8u4OdF3rMbPTcKlIkoTD4UDTBqYkY7EYzz//HGvXruHIkSPU1NRw000fYsmSpVRUVJT1fZm+fdBxOJyZ7JbhVOiaprF//z62b99GW9t22tq2s3v3LjRNY968eXzqU0NvKGcp9vcAqUuX0v3CqwjBALpNgjL7IC3eO+g+P12rn0Fc9TfiG9dzfMYMuk89GWXyFGxooKQG1dmwEAcPHmTt2jWsX/88siwzf/58PvjBmznzzLPyGmWVA03TSCaTqKqK2+3B5XKX3aVj0t3dTVtbVonv2NFGLL04er1e5s9v5qabbqa5uYUFCxaUdK0RUez79u1GVVUkScJmM/5JkvFPFG3pMl5b+oawjemgxHhGr6wabREsxhm6rmdyxWU5RiwWJRaLIi9sQW1uQBBsxjCLEtMJNU3jnXfeprV1DW+/vQlJkjjvvPNZvnwF9fUNZXo3WcxiIptNoqqqClUVy6p3EokEHR3tGSXe1radI0cOA0Z65rx59VxyyRKam1toaVnAjBkz81Iy83c8g2dEFLvD4SCRSKCqajpgYubLLA0AACAASURBVBQYFMNU8JJkz/xvLgI2W/5CYEwgsRaCktB1bJ3tkEiiNs0vy8Bni/GJmSueSMjE4zESiTiaZnxfU6kkyWQS0BBFCbvd0+/5+iMej7N+/fOsXbuGQ4cOUVVVxY033sTSpUupLLMhknW3aDgc2WIir9dd0jBrXdc5cOBAxhrfvn0bu3Z1pq8FdXV1NDe3cM01K2luXkBDQ+OQhlwPhhFyxQiZaPJAdjmapqUthSTJpJ753TxXboMSo0BBSi8AUnpXYC4EYsGFwCKLfcPz+P/hC4jHj6OLIkg2ol/7DyMf2WJCk1XWCeLxOLIcy4xu03XS7hSRVEomkTCC70NtV9uTw4cPs3btGp5//jni8TgNDY184Qt3cs4555bd3WLOGRUEIe1ucZU0VzQYDLJjx/Yca7wtU2zldrtpamrmhhs+kLbGW6jJSf8cKcakjz2rfPtfBYwKNGNGYCKRQJbjmR1B9gbMLgaiKHDihBdZVvNcQjablFkAbLbsQjCRdwPS229R+ZGbMgUn5jv1ff2r6JIEd98xesJZlBVd1zPDk7PWeAJB0NPDImxIkg2Xy50xqqLRcDqvXCxLmbyu62zatInHHnucTZveQhRFzj33PJYvX0FjY1Ppb7IH5qg5m82G318xpHF5qVSSjo6OPJfKoUMHAUNPzZkzlwsvvIjm5haam1uYNWv2sPnoB8OYVOyDQRCEtPIVB7Qb0HUdURRRlESmNDnXLWRaKyY2my0dF8h1DeUvBLk7g/GE57vfArn3FlSIx/F955tw1+dHQSqLcqCqKtFolECgG1mOIcvxzH0uCAI2m4TTmV81qWkq8bjhR9d1DUEQkSRHybLIssyGDetZu3YNBw4coKKikuuvv4GlS5dRXV1d8vlzyS0mGmx2i67rHD58iO3bt2fcKh0dHSiK0fmxpqaGlpYFrFhxBc3NC2hqml+WyU3DwYgo9nfffRtJclBZWUVlZeWgRkiVG+Omtg1ou5fdDehpv2MCXTfdQsYuIHchMHNzc3cB2YCxuQhkXUKjvRDYX3kJocgMLiEagf37wV3eL55F+TFcKkaAMx6PpXPGU3g8DmKxZPo+tBe93xRFSSt/GdDTLpjSrc6jR4/y1FOtPPvsM8RiMebNq+eLX/wiixadXXYdoOta2qct5GS39P0dD4fD7NixnV272tm8+V3a2toIhYKAUWHa2NjEtddeR3PzAlpaWpg0qczTt4aRASn2z3/+8+zfvz/d8MbDv//7vw8qHecHP/g++/fvz/zu8/morKyiqqqKysoqqqurM7+bj5k/+3z+UXOHZHcDMBi3kKapyLKSWQT0IsrTtPRtNglZ9hOLKZndQTY2MIxuIZcLIkXmdKoqeDx99lu3GHkMl4pCKpVAlrMuFdDTWR7G/eRyufF6XWha4fvWNFZisWjaIhWQJBtZh9zQ5du6dQtr1qzmzTffQBAEzj77HFasuCJt4TrK2vvcGDWnIYo2fL7i7hZFUdi1qzPPpbJ//z7A+J7PmjWbc845N+NSmTt33phwqQwVQS+mdXIIh8P4/X4A1q1bx89+9jP+9re/Dfgif//74xw8eJBAIEAgECAYDNDd3U0oFMw8Fg6HCipAm81GZWUlVVXVvZS+8XN1+rjx+0CizX6/q6QoeLkwCjmM+IDH4yAcjvf4DPIDxeaXNrsbsCNJth7uoIEHib1f/2rhKkJAOWMR9jde59ixcHnebBmpq/OPObmGSyYjk8zYLcbj0YIulWIpwoXuc03TSCRkYrEomqZl7ptSSSQSbNz4Aq2tq9m3bx9+v5+lSy9j6dJl1NZmg4cul71kxZ5fTOTA7fbmuVt0Xefo0aOZDJW2tm10dLSnM3qgqqoqk2bY3NzC6aefiq6PLa+0pqnDX3lqKnUwmu8M1nJsampm7tz6Pp+jqiqhUCit6LsJBrOLQO5icODAAYLBQKZkuSdut7ug9Z/72PTpU7DbPVRUVIzqqmz0xgCw4XQ6SSaLr7E9g8S6ng0Si6J5Q2cXAvNLn3UFGfnGubGB1B13YVu7BvuB/Yjpz1OXJHSXi/APfkrNML9/i3yymWBJZDlOPB4llcoqQTPOMxQXnuFuMTJfjHNJZbn3jx8/zlNPtfLMM08TjUaZM2cOn/70Zzn//AvS/WHKR767xY3T6UaSJGKxKFu2vJtnjXd3dwNGqnVDQyNXXnlNJktl8uQpeTrM5xsbhl45GfAy9bWvfY2NGzei6zq//vWvyy6IzWajuro6HUzpv+WrMbE8a/Ebi0EwZzHo5ujRI+zY0UYgECiYNy8IAn5/RZ+LgOkqqqqqwu32jAG30MCDxEaal1I0SAyw/7e/Q3rzDRzvbMIejSLUN6IuvxJx2lT0ri6i0UReEZlpHU7kbKGRoneWipzZsZnVm4OdJJSLruvpVMYYyWQiHQyVKIe7Zfv2bbS2ruG1114F4Kyzzk4HFVvKfm8Y7hYVUZRwu70cOnSI1157LaPE9+7dk/ncZs6cxRlnnJlxqcybV1/29MnxwIBcMbk8+uijPPHEEzz44MAHNOzduxdFUQYtXLnQNI1IJEJ3d3fmXyAQ4MSJE5mfc49FividHQ4HVVVVmQUo9+eej1VVVZXdYhkusrEBLfO/+a8QgiBkAsR2uz3vX258IPfn9zqqqqbTcWUikQjRaDSdM24oQbvdXrYccU3TiMfjhMNhVFXN9GkplWQyyYYNG3jyySfZtWsXPp+PZcuWsWLFCurqyhtYNCteT5w4we7du9m9ezdtbW20tbVlduuVlZUsWLCAhQsXZv7lehfGM8lkkpaWliG/ftCKHeDUU0/l+eefH3Cq0tatO/O2lKNNfz72VCpJMBgq6BLKdQsZO4Tuou/N6/UWtP4LxQmmTZtENJoseJ7RotjnlOsWMmME+UHi/NhAbpDYZpOw240istwFYDBB4rHuYzeVUjKZyLg/kjlxDPOzKPeCpygKiUSceDwO6Hg8LpLJ0krTAbq6uli37imeeWYd4XCYWbNmsWLFFZx//oU4ncUnHxWiLx+7LMt0dnawc+cO2tvb6ezspLv7BGAURtXXN9LS0pLJUpk6dVpZFsKxEnPLZdh97NFolFAoxLRp0wB45plnMsHKwQhpFgyNhy283e5g0qRJTJo0qd/nGv2l4xlln+sWyl0UDhw4wJYtWwiHQwUtYZvNRkVFZZEAce+fBzIbcrgYvFvIWABMt1A83rOlROEgcW47idy+QrJsR1FSmd9HG2OYRITu7hPIchRZ7ulSKTwtqByYhUemuwWEjLvM+GyGpth1XWfnzh2sWbOaV199BV3XWbToTJYvX8HChSeV/F40TePAgf20t7en/+1k//59mc9t6tRpnHrq+zJ+8YaGRuz28bEDHgv0q9jj8Th33XUX8XgcURSprKzkgQceGNQf1ujJrPQYcZVfCGRaaoIgIorG/+NhERAEAY/Hg8fjYdq06f0+X1VVwuFQnvUfCASIxcIcO9aVeaytbTuBQHfa+uqN0+ka8CJQUVE5qn7GbJC4f/quHTDum1DoGNFoIv17ti4hv8GcPS9d1KwjKIdCSiaTaWvcyBlXVRWPx0E8nsJms43IuDRDjkQ6u0VN+89Lzw1PpVK8/PJLtLauprOzE4/HyxVXXMWyZZczefLkIZ83EAjQ3r6T3bs7aWvbQWdnR+be9ng8NDQ0ct5557NgwUm0tLSUvU/Me40huWIGS1dXJL1lN/23xiBY05I3B9UqipL52ey+lhYT06IzK0cLLQID/TKNxa1XMZlkWSYYDOQEirt7/Z67QJiNh3pSUVFRNDhs/Jx1EXm93nRgeex9TpD/WRVyCfXcEeUaEWZQ0lgIsjuC/FTRrEsou8swqjcNq9gg16UyUp+VqirpjJk4oGX6uRRiMKmF3d3dPP30U6xbt45QKMiMGTNYvvwKLrzwokE3rEomk3R2dtLRsZP29nY6Oto5fvw4YHxms2fPob6+noaGRhYuPIm5c+tHNR41Fu/zEUl3LBemdWWk3vX//GwQT830fdA0FUVRUdVUzmKgomkKxZao7AJgLAJ9dZYca7hcLlyuqUyZMrXf5+q6TiQSyYkHdPdaAAKBALt37yIQKB4kliSJysoqamqq0+6h/BqCngvDaH4pjb+prdD85IL01WAuO0g5RSqVSjeOIqPszZ1AbkDYuJeKF6GVg97uFrNBV+lf3/b2dtaseZJXXnkZTdM47bTTWbHiCk4++ZQBGUqapnHo0CE6Ogx3Snt7O/v27c0YGJMm1dHY2MTy5VdQX19PY2M9omjH4/HidDrHzai58caYzgPKFtoMrPw/dyEwdgJqeiEwhuWaC4KZJ1wI0/LvuRiMF7eQ3+/H7/czc+asfp+fSqUyRWLmLsAIChsLQCQSoqvrBPv27SMQ6M4LAObi8XjyAsGFFgEzaOz3+0fVL25eW9fFzK7QzB3vOX/T6TQqMbOuIaNs30TXs2mj4bANRdHS943p+sm3/ge7w9R1PVNMlM1uKd3doigKr7zyMq2tq2lvb8ftdnP55ctZtmw5U6f2bUCEQqGMAu/oMP6ZwyLcbjf19Q1cffVKGhsbaWxspLKyKp0RpyFJDurqakgm9XHxfRpJNE3Lc1eXaiyNqCtmrFBX5+fo0VDeLiC7G+jtEjLyaLM+3txPrNgXdrA37ljcDvZ0eRhB4iDBYHevGEHPOoJgMFhwZySKYp5bqKc7KPtYdTpI3DvoONjPymzzoCgqipJMT8zJpt8af7/SFm+Xy048nkzfJ2acgLz7JiuP8bvZW6hnMzld19L57UarADNwPBSZcl0xwWCAp59+mnXrniIQ6GbatGlcfvkKLr54ccFmVslkkj17dmeCm+3t7Rw7djT9fgRmz55NQ0MjjY1NNDY2MX369JyFM9uMy+l0p5txSWP+Ph8JzM8mNwXcZrOle9x4cDqdOJ1O6uqGPv5vTFvsw4mZiz1QCsUGNE0llTIXgVR6G6/08HMLmdaokB8kNjMXxoP1kh8kntbv81VVJRKJ5LmAeqeOdrNjxw6CwUDG6uuJ0+nsZf1PnjwJt9tXsLBMkqSM686wsFMoSpLceI3NVh7LtyeDWdBz3T+KoqDrxv2jKMlMdaVxPjLZLub5jUrjQsYEec8z6ezspLV1NS+99CKKovC+953GZz7zWU455dQ8RXzkyJG0AjeU+J49uzP3ck1NLY2NjVx22TIaGxuZN6++oO/dLCYSBBsejx+X673tbjGNCtOIBOM+cblc+P1VOJ1OHA5nL11kVpMPlfesYh8spltoIGtBbpA46xLqHSRWVSMwZ/SM1pDlJPlDRHq6hQYXJB5NzB4/lZWVzJnT//OTyWTBWoHcfkLd3SfYtauTQKC7aMGb1+uloqKCiorKzP+mHJWVlXnHzCDxaGBe1wjQGu5BIyWYgml9+XEAHVAxPoLCtQOqqvLCC++wdu1a2tvbcblcLF58KZdfvoxp02YQjUZ5++1NdHR0pF0qHZlhEU6nk/r6Bq688uqMS6W6uu8GE8bipGG3O3C7K3A4HOPiPi035vfcXJzNfjY+XwVutxu73YndPrxDsuE97IoZSwUumqZRU+Ph6NFggYWgvyBxfn+YQjuCoTLWts3mgul0ihw8eJSurmOcOGEo/3A4RCgUIhQK5/wcJBgMZRRWT4zagayi76n4c3+vrKzs0+852OZWub59ILNwl0o4HGL9+vU8++wzdHd3U1dXx+LFlzB79mwOHjzErl2d7NrVydGjWZfKtGnTqa+fR319A/X1DcycOTNdBStmdgKGIsrfDeS7W7Kj5vpirN1TMHSZzPef66q12Wy4XB7cbjcOh3NIwz3AuB9qa4c+dN6y2McAoihit9txOPqv4isUJDa3emaQOPfn7PYPei7hY712IHeXk0olMz1vHA4JURSYMmXqIGoHwgSDgbTCzyr9UChIKBQiGAxy+PAhgsFg0SCx2+0usBsw/p80qQa3O7tbKBYkNrs1mjuOcrni9u7dy7p1T/Hyyy+hqiozZsxk7ty5hEIhHn30b5nrVVZWMm9ePRdeeBH19fXMnTsvx6VixgW09GeQnTuQizmPQBAEnE4XLpcLSZIyBsl43GH2h/m9U1Ulz6XidLrw+ytxOl04HI5hcfENBctiHyMMl0xZH1/uQqBldgKmS8jcEWSDfQIejyOvEKhQplC5vrTZVEMlY8nmF7RlA5zlaP3aF7Is91D+2QUhGAxmjpmPFW8w589T9F6vN/2Yn4qKqvSxCvx+f8EgcX+oqsrLL79Ma+saDhzYn4kbmS0u7HY7c+bMpb6+Pv2vgZqamiH/zTRNxRijJ2C3O9KB3vwgsfHejf8LBYm9XheJhJpxbfZcBEYjY6pYe+Oe8TK73Y7b7cXlcuNwOLDbh8/dZFnsFn2S7dk9sOfnBomrq90cOxbKyxbqK0jcsz9MsSBxrvVj+pcNizLXpWQbNevHqB1wDajSUtM0otEoiUSMY8e60llDwcwCEAwa2UK7dh0jEokUDRLb7Xb8/goqKvzp/ysyC4P5uNfrIxKJsG/fXl5//TX27duXt6hMnjyZhobGjCKfO3dOupXz0Mkt+LLbJSTJMah2vz2DxLIsI8vGzquYUjQWASFdKZzbS2h4dpimbLlFkaIo4nZ7cLs9OBzOzEI2XrAUu0UeuUFir9dLLFa8mKuvILFheWcDxLIcz4kXpPIsPDPdL9enO14wqk791NXVMGnSFIBMdksq1dvdkkqlCIfDhMNhQqFQJh5g/m7+O3BgP8FgsGglMWR3BVOmTGHq1KlUV9dQUVGBz+dHlmWOHDmCx+PD4/EM2hI2q3kFQUgrtqEF/HKDxEC6yKvvuQOgo2k6qprK/G4cM89J5ndTwfccQp+/G8jfYZqGiblg2WwakmTD5/Pjcrmx2x1l67Q5WliK3WLI5FYSm+QGBTUtTjIpo6pqxupyudzpL1n+wqCqWlqZqGiajqYVznoxWkqYE3Tyg3mj+UU0rb5kMpHu3SIUtPDsdjs1NTXU1ORnmcTjcfbs2U1nZyednZ157SEEQcBut5NMJhEEgenTpzNjxgx0nfTCEGbTpk1Eo9GCFbDm4mNa/tldQM9dQQVerweHw4Eo2nC5nCO+a8oGaQf2/GzLaQVVzdYPGOfKHldVLeMWkiR7JtjrdLqYOrWGcDiZqSMQBKHPHcV4wFLsFiVhKjNzdFu5hkXkNgPL7QWjaRoul0QkEs8LIptf6FxrzqS/PO9SMCtSE4kYqZSKKAr9DlE2OhseoLOzk127Oujs7OTgwYOZz23KlCk0NTWhqiqdnR0Eg0F8Ph+XXrqEiy9ejM9X2PeqaVp6N2Ao+1gsQnd3ILMjMB8/erSDcDiULoDqjdPpzGQCmXGA3EBxNmPIiB2M7hSy/L9ldo5A9h602x0ZV4qxM8xmtESjYQ4elInFkunHe04hs6XbSBSeQmbc4+VpMFdOLMVuMWDMjoLGVB6jz3iuVVnOzob5X9h8xeH3uxCE/NTDYj3is8Uhel7TOXMRyF0Mcq6esxgU3g30dLc4HMVHzXV3d7NrV2fGGt+9e1dGqXo8Xurr61m06Ezq6+txu9289NJLvPjiRpLJJPPnN/PhD3+E008/vV8FanZfraysBMBut5FKFXflmFPIIpEwsVicaDSWcQ2ZMYKuruN0dnYSDocKuoUEQcDn8/VS/IV/r8TpHHo1ZU/Mv29u8ZkkGYZE7jzg/u7HYkO/+5tCBsUbzGXnEhduMDfchYmWYrcoiNGnJEE0Gs4o8ULDIsZKj+ysEh746ECzAVjuYpDbZsL4XcvrIWO2JTC/4LmKw/zM9u7dS2dnR1qRd2Tmb9psNmbNmsUFF1zAvHkNNDTUM3nyFHRdZ/Nmo5ho69YtSJLEueeex9KllzF79uyyf1ZmdovT6WLmzIoBuVs0TSMWi6UVfrBXyqi5EOzevZtQKEQsFi14nmyQuHjdgLkbqKiowJ7pFqj3+luIopgJbJqKtJzKspQGcz3bTfdMLhAEEEWzw6g5mF7K7AYcDjtgZcVYlIhplZjzN2U5jtttJxbL+h6Ha1jEaFDMB14Is1VuLBZDEAxXhSCIKIrKoUMH6ehoZ9euTtrb2zlw4EBG6U+aNInGxibmzZvHvHnzmD17TvoLa3yG8Xg8PZnoaY4ePUp1dTXXX38Dixcvxu8vn2UL+dktxkjDwWV5iKKIz+fD5/MxY8aMfp+vKEqO8g9m6gii0Ui6qMw4ZgaJi00h83g8+P0VVFaa/YXMMZQ1VFfX5LWV8Pv9o3p/ZgPU/X+uuTtMY2RiPPMYGBlI06f3P+inGJZifw+iaVrGqjCGRcTzmmJJkoTD4cTrdRfcor5XMFvlJhJGjnM0Gk2X4O9Mj27ryKQvmsMiFi06i4YGo4KzsrIik+OduzM4fPgg69atY+PGF0gkEjQ0NHDddddx2mmnI0kSuk7671HYFTQY5WVeExj23OtcJEkqGCQuVINg7AaiOTUCocxcWDM2EAwGOXr0KDt37ihaO5B1RfXVXG58TCHLreEYCpZin+CYvbzNVsW5Pb2BdL64Dbt99G7ysYSu6+m+Nd20t++gs3MXnZ1GP5Vjx44BhgKZPXs25513QaaXyrx5c/qcL6ppGps3b2HNmtW8/fYmJEnivPPOZ/nyFcybV59jrZlZHmbaX+7wEPM5uYo5d6tPjltIAzRAGJXslmKYfvFcxSwIIpWVVUyaNHlALhWjwVw4M4qyZ48hs8HckSNtBAIB4vFiDeaMKWQ1NdX4/X2PpRztKWSDZfxIajEgerpUEol4xmIzKxMnkkulHOi6zv79e3n33XfZtm0LHR3t7N2bHRZRW1tLQ0Mjy5Ytz3Q27DnEudh80Xg8zoYN62ltXcOhQwepqqrixhs/wNKll+WNfxtKV8jcxcBYADQUxeiuKIoSLpcTRTEUqOnqyL9M/0HiUjHjFOYCZLMZQ0JcLkc6w8Q26O6PRoO5qgGPz0skEpnB87mD6PPnDhyno6OdQKC7aO2A3+/vNW2svylko4Wl2McxpkslN0slv8ezlN56j/7A57FEKBSirW0bbW3b2bZtGzt2tBGNGtOkXC4X9fUNXHXV1TQ0NKU7G1YP+hpHjhxm7dpWnnvuWeLxOI2NjXzhC3dyzjnnlmT5FVLARpDO2H35fJW4XC5sNqP3eSgUzwsSFxpP2TNI3DNTKLc1QKHFIPu87AJjYihxd8anX1XlJRIpnGY5XDidTiZPnly0krjn3IH8KWQ9Zw4YP+/Zs4u33w4QDhduA2JOISvUWjr/McNNVO4pZJZiHyfkulSy1rgxiAGyLpXR9BuORVIpY/5mW9t22tq2s337Ng4dOggYimrmzJmceeaZzJ8/n4aGJmbOnDnkfiW6rvPuu5tZs2Y1mza9hSiKnHvueSxfvoLGxqZyvi2ATAaPzWbD768o2ElwMEHivmoHei4GZvVmfo8YIROfMbI87Nhs+a0lxvpO0azmHegUMkVR8mYQF2o9HQwG2LdvH8FgoGjtgNvtyVP4CxYsGD8zTy0GjqqqmcIfWTayVHK7yhmFP+XJGZ8o6LrO4cOH2b59W8Yi7+joQFEMN0RNTQ1NTfO5+OKLmTfPGKbs9XpLvq4syzz//DM8/vgTHDiwn4qKSq6//gaWLl02JGu/L3Jb5Toczkyr3OGsHSjW2dDhcOJ0urHb7ZkS/J5TyLIN5oz2ADablk4FBDMFsFD/l/GwCIBhmdfWTqK2dmAZLLIczyj+QjOJg8EAhw8fQtet4Om4R9M0ZFkmEgkTj8eIx2MZZQSkCx3sozordCwSiUTYsWM727dvz1jkoVAQMAJjjY1NXHvtdTQ2NjFnzly8Xg+CQNnynY8dO8ratWt59tlniMWizJ07j89+9vOcd975OfnX5cFwlyiAmB6h5u63wnWo5HY2NAtwzGERpXQ2NOcOHDkSHPQUsoE2mOsLQQgiSS8jisfRtOkoylno+tBzxYeCy+Vm6lQ3U6f2PYXMyooZZ5g9RczGWIY1nsDjyc0ZlyyXSg8URWHXLsOl0tm5k3ff3cL+/fsAw3qcNWs255xzLs3NLTQ3tzBnzlw0TSUWi6YXSQFJMoZTl4Ku62zduoXW1jW88cbrCILA2Wefw8qV1zBnTn3ZrUyjlbKW8Z8PdXBDMXLbJecPi3CXvbOhOXegZ+C5mFyFxlH2bDCXO4WsEKblb7dvw+X6M6KoIIoyuu7A4XgSWf4McHLJ722s0a9i7+7u5l/+5V/Yu3cvDoeDOXPm8M1vfrNXfqpFYczBCmYvlWIulfd6znguuq5z9OjRtBVuuFTa23dmKl+rq6uZP7+ZJUuW0ty8gPnzmzMuFU3TSCRkgsFuNE1Ld6os3XpOJBK8+OILrFmzhn379uLz+Vm58jouu2wZtbW1Ze0Rbypbc6ya2+0t0d2SQpLeAU6gqrUkEi1oWjYI63Q68fsrcDpdY6azYW6DuYFsfnoOn8nvNHoMl+s3KIqEorhIJGrRdSG9G/kL0egsZDn7nRwLPeJLpV/FLggCn/zkJznnnHMA+N73vse9997Ld77znWEXbryR29nQyBmP5lXUmQ2FxuONMpzEYjF27GjLU+RmGb7D4aChoZErr7yG5uYWWlpaaGiY0yuzwuj1beyAgEzTplI5fvw4Tz21lmeffZpIJMKcOXP49Kc/y/nnX1D2TAazpQEIuN1unE53SRk0hmLrQJL+Lz0nVcHhkKmpOYGm3YMonordPjHuR7P/SiGV5nb/Dq93I4Jg3DO6DppmR1XtpFLV6PoKjh+/NDN5LHc2ceEpZFnX0FidQtbvXVNVVZVR6gCnnXYaDz/88LAKNV7onaVSns6GExlVVdmzZ3fGJ97Wtp29e/dkPrcZM2Zy+umLaGlZQHNzC/Pm1fdSbrm9WVKpZKboShDE9HNLd7ds376N1tY1vPbaqwCcddbZLF++gpaWBcPkbjFyz32+wtktA5G5p0vFbk9QXf1TKip24XIFbu1XUwAAIABJREFUcLmC2GyGoaFpN9LV1QaMf6XeHzbbroxSB9JxlhQ2Wwq7PYEg7Cce9xd9ff9TyFRUNZUXJE5fCUHIbSMs5MUEhjNTaFDmgKZpPPzwwyxZsqTsgox1TJfKSHQ2nEgcP34sJ7i5jfb2nciykTNcUVFBc3MLF110Mc3NLcyf34LfX/wLZmIEm+PEYlE0TUEQbGVpRpZMJnnxxY20tq5hz57deL1err56JZddtoy6urqSz5+Pni4m0tLZLRWDCkjmD4swXuN0OtPDIlzY7U6mTfsrur4RUSxUeZnC6VxFInFT+d7SGEVRTkLTPAU/B113Iwjz+3y96TId3BSybFqo+bPRQC6VXgTMv5+a02I6uxOw2UpbcAc18/Qb3/gGR44c4f77758Q27dimGXlsiwTjUaJRCJ5+adGE6WJsYUtJ7FYjLa2NrZu3cq2bdvYunVrpgzfbrfT2NjISSedxMKFC1m4cCHTp08f1EKYSqWIxWJEIkYxkSRJZfkbdHV1sWbNGp566ilCoRCzZ8/mqquu4uKLLx5QoG8wGJaegiAIeL1ePB5Pvxk05msUxbDGzcEbXq8Xn8+H0+nE6Sxk5d8N/LiPM98DfKPEdzQeCACzgULFRJOB/cDotFzIppKqef80TSspVXbAFvv3vvc99uzZwwMPPDDoL9NYH2adOyxClqPIck+XSn5f52RSLzrJfqgUGqg72vQlk6qq7Nu3N8+lsmfP7ow/ctq06Zx00imZLJWGhoZeVvVAKhDNwqx4PJr+zIX0QGQl3ZtlaGlhuq6zc+cO1qxZzauvvoKu65xxxiJWrLiChQtPwpiiw4ADov0FT80vqyiKeDxenE4XoigiyyqynH0P5rbfVOJAZvKUy1WB0+nE4XBm4gepFKRSCpFI74lTdXX1aJobUYz3OqZpXqLRKcjyyA51H51B8jYk6a9UVt4IaAhCAl13Ah4CgceoqbGPseH24qDbLPRkQIr9Rz/6Ee+++y6/+tWvyh4wGmnMvtKhUDDd2dByqQyE7u5u2tq2pYt/trNjx45McyWfz8f8+c2ce+55tLQsYP78lsywh6FiDvUw3C1q2n9uWFWl/G1SqRQvvfQira1r2LWrE4/HwxVXXMmyZcsHNLx6cBjuFtCRJKMPeU93i7lFz81bdjicVFZW43S6cDgcJWTE3IIg/GvRo7J8/RDOOT5RlHPp6mrH6XwCUdyPqjaSTC5nomZ89+uK2blzJ1dffTVz587F5XIBMHPmTH72s58N+CKjZbGbY8vMAJssx0kmE3g8DmKxZGZYxFhwqYwliz2RSNDevpPdu9t5++3N7NjRxtGjRwAjs2fevPqMJd7c3MKMGUMvw++J2fs8Ho8DenoGZf65h5Ja2N3dzdNPP8W6desIhYJMnz6d5cuv4KKLLs7c16WQK1O2OlTA5XLhcnnS7Xi1jG/VxGaTcLvzc8bL9VnW1fkJBv9KRcWtGLNiZTTNDQiEQn8ilVpclusMVqaxZR2PTZlEUaC2dhgHbTQ1NdHW1jbkC4wkhYZFmOuWYfEZwyKsnPEsmqZx8OCBTB+Vtrbt7NrVmdnFTJ48hebmFlauvI7m5hYaG5vK7nfOuluyLYXLVR3a3r6TNWtW88orL6NpGqeddjorVlzBySefMmzFRIIg4vH4sNvtaJqezp5IIQhCuvCnKi9nfDhJJi+nq2sLLtcfsNnaUdVmZPlmdN2qQ5nIjNt9SH5nw97DImw2CYfD6mzYk2AwmJcvvmNHWyYY6XZ7aG5u5sYbb6K5uYUzzngfDkfpvVSKYYySk4nFoqiqWrZiIkVReOWVl1mzZjUdHe243W6WLbucyy9fwdSpU8sgee/rGX5yPTNv0xxq7fO5cbk86YHK5enpMlh0fRLx+BdH/LoWo8e4UOzWsIihkUol6ejoyOtsePjwIcAIyM2dO5eLLlqccanMnDkrr6hnuNxDhrvF2FXpup7+25Wu0IPBAE8/vY51654iEAgwbdo0brvt41x88WLc7vLdG2bOuNGqQMfhcFFdXYXNZrhdHA4nDkf5XCoWFoNlTCr2bGdDmXg8nh4WkS35tYZF9EbXdQ4dOpijxLfT2dme6c9eWzuJ5uYWrrjiKlpaWmhsnF9WZTcQ+bLuFhljJFj/E+QHQmdnJ62tq3nppRdRFIVTT30fn/70Zzn11PeVrFzNNrbmBCOzb7nd7qCubipVVTW43R6mTasus59WweFYjdP5V0AnkbiBZPJKRistz2J8MeqK3XSpmAHOeDxudTYcAOFwmJ0729LFP9vSnQ1DgDEsoqlpPtddd0PGGp80qdwFNgPDdLcY2UdKemEuPbNKURRef/011qxZzY4dbbhcLpYsWcrll69g+vTpJclrFI2Yk4pAkmyZFgVut4fa2jo8Hu8w3pMxqqquxGZrQxSjADgca1HVBgKBNZQyvd7ivcGIKvZsZ8NEZiueLfzRrc6GRUilUpnOhua/Awf2A8YOZvbsOZx77vmZMvzZs+eUpU9KKaiqmnGbGX9bW1n856FQiCeeeI7Vq9dw4kQXU6ZM4dZbb2Px4kvweDyDOlehiT9G8Y8jk52iaVp6+EIFFRVG0HO48Xq/hc22BVHMdTdGEYQ2fL6vE4n8YNhlsBjfjIhiD4dDhMMha1jEADA6Gx7pVYZvNhOrrq6muXkBl112eboMfz4ez/AFOAdD7+wWoWzulj17dtPauoaNG18glUpx8smn8IlP3M5pp50+IMu5p0vFRJLs2O3u9PxNwypXlBSplIIgiNTW1uL3C3g8axGECKnUOajq8LZ5dbkeylPqJoKQwOX6XyKR7/Ne6PFiMXRGRLF3d3ehqqrlUilANBplx442du9u5513NtPWtp1AIAAYnQ0bG5u4+uqVNDcb1vjkyZPH3EJotGCQicWMASHlym5RVZU33nid1tY1bNu2FafTycUXX8LKlVdTV9d3dksha1wUbZmiH1OJ92wolkolcTqd1NZOxu324HY/jN9/N7ouAcbgiVTqLILBPzI8LhENQejLV58AksDw7xwsxi8jotidTlde+9r3Kqqqsnv3rjyXyr59ezP+3FmzZnHmmWdllPjcufOGPc+5FDRNTbvUoplhEOVoxhWJRHj22ad56qm1HD9+nLq6Om655SMsXnwpPp+vV4FSdkanljd42XSpSJJUpBBNRxTfQlXfRBBkamp8uN3vx26fA4AkvYbf/48Igpw33NlufwW//3OEw78v+b32RkTTZmCzHSh4VNNqgfLWEfz/7Z15nFTlme+/51Sd2rfupmmaRVAM0GocghqNKIoooEADBia4kZgYY0gYE71R1I+aG01GnJvJ4iSzZW4ySSaJ1xiaZgdRBDVRk5AoIAioUdkEeq29zjnv/eNUFd30Qi+nq4rm/X4+fj52d3W9T72cfurU732e3wNJvN6n8Hr/C0VpwTDOIxZ7kEzmzDP7GyyUbtYYBFjOhm/lSw337dubP1MIhcKMHz+BKVOuZsIEq2b8dKh4yMktyWSCVMoqhbSaifp/KX3wwfts2LCel17aRjqd5rzzzmfx4s8xadJF7ZJyzhTLuhu3BiY4nVp+/mYuiXf3ycb6ZPEsTufbDBv2VyKRv+F0poGnaG39LqrajMfzC6Cjz4qipHC71xONfoQQdtsQQDx+H4HAAyhKezdC0/QRj99Lf22J25MhEpmF07kDRbFeq6q+Rjh8E62t/0QqtdjGtSSFQiZ2m0gkEuzb93a7KpXjx48DVtIZO3YsM2Zcz/jxNUyYUMOwYcPaJZ5SshToDEtuSeWHh9glt5imyZ///Cc2bFjPzp070DSNK66YwowZMznrrLPykoquZ/J345qmtpFUHD3uUs3JLYZh4Pe/w8iRvyEcfgdVbWskliAYXIL1Jpuhq6cVwo3DsR9dtz+xJ5Ofw+HYj9f771kJCBRFJ5lcTDJ5l61rud11OBy78kk9h6IkCATuI5VaAPTuUFpSfGRi7wM5Z8Pc3XhuWETuYHj48OFceOHEfKnhOeecY4tEUQxOyC1xTNPE4VBteS2xWIwtW15g48YNHD36ERUVFSxadBNXXXU1fr8fIci34TudrqwZliWphMO+Xr0J5gzFAPz+AOFwGZWVD+Hx7O308VYy7146VJQ0plnV4xh6h0Is9jjx+FJcrucAQSYzDdPsfgByX/B4fpkvqeyIA5drK+n0TNvXlQwsMrH3gIaGhnZeKnv37smaVEEgEGT8+AlcfvkV+UQeCoWKHHH/0fUMDQ1xmputgzy7Rs0dOPAhGzasZ9u2raRSKcaNG89nPrOISZMuwul0ZL3u3VlJpb1dcu9fg46up1FVB2VlFQQCoXyHq8PR0OfXIISKrp+HaZ7T5+fo2TpVpFK3DOga1mFsd8izsdMRmdhPIplMsn//vnYWtblhEQ6Hg3POGcu0addlk3gNI0aMKLkqlb6SGzCSSMTQ9Qxut2ab3LJ9+5/ZsGE9O3a8iaZpXHbZp5gxYyYf+9h4NE3L3433dy9zcotpmrhcLiorq/H7Ax0OTtPpq3A632w3Mq3757Xu5E3TD/hpaflZv+IsFdLpOTid2zv1bFeUNLp+Pl7vU7jd9QjhIpm8OSvP2H2AK7GTMzqxm6bJgQMftqtSeeed/XlJpapqGDU15zN/fk12WMS5p70ffWe0lVus6hY1W9+tYRi9v2PL1YxHo61s27aV557bxJEjRygrK+Omm25h5sxZVFRU2Fr6mutgFkLk5ZbubCeSyTvxev+jx4kdNJLJ68lkppFM/j1QGr0D/SWZvBWv9/sIkUZR2g788JFM3kgkMhNFac4nfqfzT3i9/0pT0wYGyx4MRs6oxN7c3MTu3bvzPuN79+4hFrP0RZ/Px7hxE1i4cBETJliSSiTS99FUpwNWM5HlxQO56pbeyy25enHTFCgKHDp0iM2bn2Pr1hdJJpNMmFDD5z73BSZPvtL28s3cJHlFUQmHywgGwz0yFDPNapqb1xAKLUZRjgIOFCUGCBTFbPdYITzE40uIx79pa+ylgBBhmpq2EAgsxeXamj2sdRKPL0XTXkdVj7ZL+KoaR1H24PP9M/H4w8ULXNItgzaxp9Np3nlnX7sqlcOHDwOWpDJ69BimTLma8eMnMGFCDSNHjjojmqfayi2ZTLrdZKKe/n5uWK+iWBKFw2E9x86dO1m3bg1/+tMfcTqd2WaieYwbN34AXkMK0zxhxtWZ3HIqdH0iDQ1/xeF4E1VtQNfPJRS6E6dzezbJgxB+dP0TxOMP2PoaSgnTHEFLy+9QlCYUpSV7SJvC7x/TLqnnUJQUXu/PZGIvYQZFYhdCdDosIudsOGRIJePHT2DWrFrGj5/AxIkXoOuDQxfvKZbckso2Exkoyqmbidom8bZt+CcafzTS6RQvvLCZ+vqVHDjwIWVl5dx662JmzpxFebm9wxxycouqGng8PsLhCB6PN5t8koA1Hah3KBjGhWTnitDcvAZN24rbvRKAVGoumcyUPjzv6YcQEYSIAKCqx+nOtqD77lhJsTktE3tLS0s7Xfztt3fT2mpdaF6vl499bBzz5386X6VSUTGk3e97vaVdM24nuq5nzdZOLbec7GyoqiI79efEtJ9clcqhQwdZtWolGzeuJx6PM27ceL7xjWVcccUUW7zV22IYOul0BlVVCIfLOPvsETQ3p1DVw/j9X8HtXgUYmOZIYrFHSKUW9mM1hUzmqqKMjRsIHI49OJ1/RIgw6fQ0rDe/U2OalQjhRVE6/zvR9fNsjFJiNyWf2E84G76Vl1UOHjwIWMMizjprdJtSwxrOOuusojsbFptcZUg8HkPX00BHueVkSQWs8YEulxun06qGiUT8xGLpdr+zffufqa+v4/XXX0VVVa688ipqa+cxYULNALyGDIZhoGkaQ4dW4fMFssPGXSjKYSKRKajqMRTF+mTmcPyNYPCrKEojyeSdtsZz+hEFPk1Z2TaEcGDdfQtaW/+DdHo2mvYKPt9ynM43MM1yEokvkUzezonuZwfx+L34fN9BVdt3wArhJRZ7qLAvR9IrSiqxCyE4fPhwXhPfs2c3+/fvy/vMlJeXM358DdOnX8+ECTWce+7Hem3VOpgxTYNUKkU8HsM0c9Utri4lFafThddrJfHO6tRzmnUymWDz5ueor6/jgw/eJxyOsGjRzdxww+wOn4b6/xpONBP5fH7C4bKs3NJeCvF4fpLVhPV231eUBH7/N0kmF3MmG2WFQncCW1GUVLvu2VDoDmKxb+D3PwkkUBRLdvH7H8HtXkNz8+8A6zpIJJaiqsfwev8VIXKynUEstpxM5roCvyJJbyhqYo9Go7z99p52skpzs+Vs6Ha7OffccfkhyrlhEYOlZtxOrJmbCZLJBDnvc1VVEMJE160KD1V15iWVk50Nu+LQoUM8/fQzbNiwjmg0yrnnfox77vkGV111te2dtIahk8lYnaa56pbuSks9nt+hql3JaQqa9mcymcttjfF0QVUP4nJtovPmozh+///uYJWgqnGcztdwudaRTs/OflchFvsW8fjX0bQ/IISTTOYKeirnSIpHwRK7ruttnA3fyjobfpD/+ahRZ3HJJZ/MV6mMHj2mpJ0Ni01ObonFotmGHIHDYRlf5Ua3de9s2PXzvvnmG6xcuYJXX/09AJMnX0lt7TzOO+98W99Yc4ZihqHjdLoYMqQKvz/QQymt+ziEOHNvAByO3Qjh7rRGv7t/PlWN4fH8ok1itxCijHT6ervDlAwgBcmc3/nOt3jllZfzzobhcITx4ycwdeo0xo+vYdy48fj9stnhVOQmUCWT8azcInA4FDTNMsTqqbNhZ6RSKbZseZ76+jreffcdQqEQt9xyC9ddd73tY/XaNhP5fD7C4epO5ZbuSCYX4vPt6/KuXdcvsivc0w7TrOogUfUURYnaHI2kGJwysS9fvpwNGzZw4MABVq1axbhx43q9iBCC66+flZdUqqqGSUmlB5imiWHoGIaRHfCdJJPJ4HRqeamiv234R49+xOrVq1i/fg2tra2cc8453H33PVx99TUMGRK2tXrIMIxs7bxCKBQmGIz0uZM3mfw8Xu9PEOIwitLWm91LNPoEMPg6hHuKYZyHYYzE6dxL2zOVU2GavgEx/FLVw3g8/43DsQOYgKrejGmebfs6khOcMrFPmzaNxYsXc8stfTcjeuihR+WgjVOQuxs3DL1NuaGKqqr5MkSrdtvT70YqIQQ7d+6gvn4Fr7zyMgCf+tRkamvnccEFHx9AuUXrpdzS3fOGaWx8Eb//m3g8/w9IYRgTiMUeJZ2+wZ7ge4hV030YRfEjRHAAVzJxOHagKCl0/eN0fTis0NLyS8rLZ2CaSVQ1kfe66QohVMBHMnmbrRFr2vOEwzdjTZ9KAesoL/8Bra0/IJW6yda1JCc4ZWK/+OKLCxHHGYd1F67nfWkcDhOHw0EgEETTXGQyGVpbm9H1DE6ns9dSRWek02lefPEF6uvr2L9/H4FAkBtvXMCsWbVUVdlrQSuESTptmXFZcsswvF6fzW8aQ4hG/4Vo9F8Ak8LPAY0SCNyDx7MC0KioyJBKzSUa/WeEsNfh0+XaSCDw1eybiFW6GI8/QCLxVTo7bzCMCcB+4vF/RdO24HT+EYejsdPnFkIhk7mM1tZ/yzco2UOMUOjWkwaGpFEUCAbvJpOZgmmOsHE9SQ55OlkArOoUK5HncDo1/P4AXq8PTXMxfHgFhw410trazLFjRxBCoGkamtb/cs5jx46xZs0q1q1bQ0tLM6NHj2Hp0q8xdeo0PB57SwLbyi3BYJhQKIzLVQgnwEIndUEkMhen843snahVVmgNrthLU9MW7OpWdTpfIxS6rcMwDL//2wjhIZn8Yhe/WUYisZREYima9grh8PwOzyGEm+bm/yGTmW5LrG2xGse6koIEHs8vicfvt31dSYESeyDgRtdLq2koGByYGmchRDa5ZfKSiqIoRCJhAoEAXq8Xt9udr/gRQhCLxXj//fdpbW1FURTKy0M2yS07+e1vf8uWLVswTZPJkyezYMECJk2a1OM7557sU66ZKJOxrH4rK4cTDocHtKqpsnIgJY+esBXYxcklhYqSRtP2Uln5OjDNprWW0/mIvjjB4D8SDN5Nrvb8ZE7s0wxgLXA38Fb2ex9HUZ4iEhmostAGuvJ7V5QUfv9h/P5i/ztaFP96speCJPZoNFVSGrudY+hM00DXDUzzhFmSy+XG5/Pnx7c5nVq2DBHicZN4PIFhGMTjURobG9D1DKGQD8Owqlnadnv2lkwmzdatL1JfX8fevW/j9/uprZ3H7Nlzqa62JvBEoz2zqj3VPuXkFiEEHo+XSKQSr9eHaSo0NnZMRHZRWRnk6NHiepX4fGvx+eKd6tZCRInH1xCPf9KWtSoqfk9X7/NCxGho2I1pntXhZx336SLgJRSlCVAQIpz9/sDspct1NsGgB1XtWGljmj5isRqSyeJ7zpTC9XQyqqpQURHo8+9LKaYXdCapOBxOfD4fXq8Pl8uNprm6vdvOZNK0tDTT0tKUl1s8HusuPp3u+5tNQ8Nx1q5dzdq1q2lqamLUqFEsWbKUadOuw+u1t6EkJ7eAQigUIhiM4HafWYMXhPBi/fl0dsPiwN4mHh+WRUBnGAjRu1Jhe3X0rkmnpyNECCFiKMrJkoyTVGpRn55XVT/A4/kJmvZHDGMkyeQX0XV5FtiWUyb2xx9/nI0bN3Ls2DFuv/12IpEIa9asKURsRSVXiaLrBkJYB5yWIZYXrzeC233CGKsnz5VMJmhubiIet/5AXS63LTbBe/bspr6+jm3bXkTXdS655FLmzp3HxImTbLUhzlXt6LqO0+mgvLySYDCIw3Fm3huk03Pw+5+g88SukUrNt22tROIWfL4foSjtP8lZh56TEKLCtrXsxUFT0xoikVoUpRFF0VEUDdN00dz82z4dMGvai4TDnwF0FCWNECoeTx3x+NcGtbVyb1FETggeQHbt2lvyUkzbmnGwSsM0zY3X68Xj8WU7ObVeVXWYpkks1kpTUyPpdBqHw9Hlc/RGHspkMrz00jbq61ewZ89uvF4f06fPYPbsWkaMGNnj+E5FMOihpSWR9z73er2Ew+V4vb6ieteXykdnv/9+PJ7/bmeSZU0euolo9Hu2raMozUQiV+NwHMi7LQqhIYSXpqbNGEbnfvelsk9gomkv4nDsIxj8GEePTuaE2VhvSFNRMRZVbe7wE2svNqLrf9frZy2dfTqBlGL6QK62OufXDtbwDa/Xh8djSSouV/eSSndkMmlaW1tobm7Myy12yCGNjY2sW7eGtWtX0dDQwPDhI/jSl5Zw3XXT8fns7dy1zgDipFKpfHWL233mmmp1Riz2BLp+MV7v99C0D9D1EcTjXyOV+kwXv5HB6fwrkMxKFJXZoRbdY0052orH8194PP+DoqRIpW4gkVh6mpQLqmQyU8lkphIMBumrpu9ybcYqa+2MNB7P/yUa/UFfgxxUDPrEnpNUDMNoVzOuaVpeG7asavu3FTm5paWliVgsiqIop9Tbe8q+fXtZuXIFL764BV3PcNFFl3D33fdy0UUX237nbFnlZnA4nAwbNpJMxiE9e7pEIZVaSCq1kMrKII2NXScst/uXBAIPZGu6c59eHej6xbS0/DumeU63KwkRJJH4GonE1+wLP4uqvoPL9TygkU7PwDSH2b6GHajqR0DHiU4AimKgqgcLG1AJM+j+Yk+WVABcLheBQAiPx4vLZdWMHztmjyeGJbdEaWpqyE73UbsdotxTdF3nlVdepr5+Bbt27cTj8TBz5vXMmTOXUaM6VkD0h9y4PCFM3G4PQ4YMxev1MWRIuOQ+op6OuFyrCAbv7VBDDgZO52uUlU2joeFPCGHvxKlToxMM3oXbXZ81TVMIBP4X8fjS7Ni70rL90PULu/yZaXrIZC4tYDSlzWmd2K2acSuJ544KHA4HHo8Pr9ebr1I5uX3dju7HXGdoS0sTpmnidFrVLf2lubmZ9evXsmbNKo4dO8qwYdV88Yt3MX36TNuN0kzTIJ22DuSCwRChUETKLQOA3/9oJ0ndQlEEQsTxeH5GInFPQePy+f4Rl2sVipJsV7bp9f4YwxjfjaRUHHT9ExjGeBRlRzt/IAsnyeTnihFWSXLaJPbcsIi2bfiKouB2ewgGw+1qxgcyhlQqSXNz4wDILfv49a+f5oUXNpPJZJg4cRJf+cpSLr74k7ZPhNL1DJmMjsPhoLx8CIFASMottmBm/2u7l2kcjne6/S1VTeB2ry9wYtfxev8NVe34hqOqcXy+fyq5xA7Q3Pws4fDf43TuzE6GAvDR3PwbhLB36MvpTMn+NXcmqWia1k5S0TRXQVwiTdMkHrfkllQqhcPhsEVuMQyD3//+FerrV7Bjx5u43R6uu24GtbXzOOus0TZFb5HzbzdNE7fbTXl5JT6fv6jVLYMFVX0PeJQhQ6zZq7p+AbHY42QyU7H+xBx0fehn0dta9P6iKA2d3PWewOF4r3DB9AIhhtDU9DwOxw6czl2YZlV2+EdpdbYXm5JI7Lk2/JOdDa2acT9ud+eSykCj6xlaW1tpbm7ANI3sKLn+e7e0trawfv06Vq+u5+jRjxg6tIolS5Zw1VXXZqsG7KOt3BIIWHKL3f4wZzKqeoCysquAZhTFSt6a9ibh8CJaWn5GOn09qVQtbncditL5wZ9p+kkkFhcwarI15F1XOptmofX+3mEYF2AYFxQ7jJKlKIk9l8QNw8je9Sp4PG4CgSAejzff+FMMz/ac3NLS0kQ0ah0cWs1E/e+sfO+9d6mvr+OFFzaTSqW48MKJfOlLS7j00suIRPy2ep9b5ZwZVNVJWdkQgsHggMpUZyo+3//JOi62vyNXlASBwD00NMwkFvsOLtc2oKHDAAzT9KLrF5FOzylc0AB4SCZvxON5tpPGJy+JxF3tvudw7MDvfxiX60VAIZ2+lljsMQyj9/MZJANPQRK7rmey8zizizo1/P5g3tlQ07Rj6NGPAAATzUlEQVSiSwKW3BKjubmBVCqJqtont7z22qvU16/gr3/9Cy6Xi6lTp1FbO5+zz7Z32EBObjEMA7fbzdCh1fh8gaLv7WDG7V7V5bQiVW1EVd/FNM+hoeFVvN5/x+P5JYrSAAhMs5pE4sskk5+nGPdYsdiTaNpfUNX3UdUYQliSkK5/kkRiaf5xTudfCIevR1Fi+UNWl2s9mraNpqYtMrmXIAW5mixTrEC28cddcEmlO3RdJxptoampEcMw0DQnHk//5ZZoNMrGjetZvXolhw8fprKykttv/wIzZtxAKGSvV3fbUXOBQDBf3SKnVJUCltwhRAXx+IPE4w8WOZ4TWMNKXsLlWovbvQohXKRSC8lkrqKtDbLffz+qGmv3u5b3Swy//2FaWp4ubOCSU1KQxF5ZWYVpDrhzQa+wqluaiEZbAKvWva9j2trywQfvU19fx+bNm0gmk5x//sf5/Oe/yKc+NXkAqlt0dD2NqjqIRMoJBEJompRbCkkqNQeP5+edHkSaZtkpG4+Kj0Y6PZd0em4XP0+iaa91+hNFEbhcm7DevORNRClREoenhcI0TRKJOC0tH3HsWJNtzUSmafLHP75Off0K/vznP6FpGldffQ21tfMYO/Zcm6K3aFvd4nK5qKysxu+XckuxiMfvxe1+FkVpoa3Obs1e/S6nf8I71Q1Zad2wSSzOiMTeVm4xTYNw2G9LM1E8HmPTpo2sWlXHwYMHqaioYPHizzFz5g1EImU2RH6CtnKL3x8gHC6TcksJYJojaWx8kYqKbyJErtzx/Gy54zXFDs8GvOj6hWja9g4/EQIymSs5/d+8Bh+DOrFb1S3NtLZabnCa5spLLqlU3ytQDhz4kFWrVrJp00YSiTg1Nedx2223M3nyFbY3+lhySwZFUQmHywgGw1JuKTFM82zgdxw71kzHBqXTn2j0CSKReZ10z/qIxR4rSkyS7hlcVyAn5JampgaSyYStcsv27X+ivr6O119/DafTyZQpV1NbO49x4zq3Te0rJ+QWA01zU1k5TMotpwUqhZ+9OvDo+qdoaqojELgfp/NNQEHXJxGNLu+TTa5k4Bk0id2SW6xmIsPQcTg0W5qJ4vE4mzdvYtWqlXz44QeUlZVz662Luf762ZSVDZTcYuLzBQmHI3g8Xim3SIqOldy3AjEs6aX/f1uSgeO0T+ypVIrW1iZaWk7ILZrW/+qWQ4cOsmpVPRs3riMejzNu3Hi+8Y1lXHHFFNulEMPQicViZDKZrNwSsuU1SCT2U1jrA0nfOC0TuxCijdwSR1HskVuEEPzlL9upr1/Ba6+9iqqqXHHFFObOnceECefZFP2JtSzvcwNN0xg5ciSplFJSNf4SSanhcOxF07YhhJt0emYJjwUsLqdVYjcMS25pamrMzt504nb3X6pIJhM8//xm6uvreP/9vxEOR1i06GZuuGE2FRX2OsaZpkk6nQLA5/MTDpfh8XgpKwtJ73OJpEvShEJfwOXakPWOV1GUrxOLPdyuS1ZicVok9nQ6la9usUbNuWwZNXfkyGFWr65nw4Z1RKNRxo49l3vu+QZTplxtS7NSWwxDJ5PJoChKvrrF7jUkksGK3/8QLtfGDt7xfv+3MYxxpNMzChiNgdP5F0DPHh6XnqleySb29nJLAkVRcLlcKEr/qg6EEGzfvp3f/OZp/vCH3wNw+eVXMHfufM4773xbDypzs1UNQ8fpdDFkSBV+f0DKLRJJr4jj9f6802ElihLH53uyYInd5aonGLwbSGEdIgtisQdJJr9akPV7SskldsMwiMVaaWpqQNd127zPk8kkW7Y8T319He+99y6hUIgFC/6eWbPmUFk51KboLdo2E/l8PsLhalndIpH0EYfjAEI46OrPx+F4uyBxaNpLhEJf7PAGEwg8DgRJJj9bkDh6Qskk9nQ6lR81J4RV3WJHd+jRox+xevUq1q9fQ2trK2effQ7Lli3j0kuvwO3uvxVvWwzDIJNJoygKoVCYYDAi5RaJpJ+Y5pBuh4KYZmVB4vD5vtXNp4bHSCZvo1T6GHqU2N99912WLVtGU1MTkUiE5cuXM2bMmH4vnpNbmpsbicdjqKqKprn73YgjhGDnzh3U16/glVdeBuCyyz7F3LnzueCCCwmFvLZ5n7eXWzQpt0jOAOK43b/D5XoeIcIkkzej65cM2GpClJFOT8Xl2twhwQvhI5FYMmBrt6UzW4UcqtqMohxDCHs//feVHiX2Rx99lJtvvpm5c+eycuVKHnnkEX7+85/3eVFLbolm5ZY0DofTFqkinU7n5ZZ33tlPIBDkxhsXMGtWLVVVVf167pMRwiSdtuQWj8dHZeUwvF6flFskgxpV/YBI5FoUpSXr4a7i8fyKZPIzRKM/YKB8Y1pbf0RZ2TUoyrHsugpC+MhkriKZvH1A1jwZIXwoSqqLn5pA/xUGuzhlYj9+/Di7du3ipz/9KQCzZ8/mscceo6GhgfLy3o3PSqfTbeQWgaZptnifHzt2jDVrVrFu3RpaWpoZPXoMS5d+jalTp9k+Bq6t3BIMhgmFwrhc9ko6EkmpEgrdjqp+lB/zZ40DTOB2/z/S6Wnd2P/2DyEqaWh4Hbd7BS7XeoTwkUotIpOZQqFMyJLJm/B6f9LJxCmVTGYyQtg71rI/nDKxHzp0iKqqqry04HA4GDp0KIcOHepxYk8mEzQ0HCcej6EoCprmskVu2b37LVauXMHLL2/DNE0uvfQyamvn83d/N3FAqlt03cDpdFJRUUkgEJJyi+SMQlXfx+l8o9PZraoax+v9lwFL7BYeUqmbSKVuGsA1uiYevx+Xaz0Ox0EUxZJyhXAhhJ/W1u8XJaauKMjhaWvrcZxOwZAhEVvklueff55nn32W3bt3EwgEWLBgATfeeCPDhw/v8fMEg6e+kzdNk1QqhWmahEIhKisrCQQCAya3VFaWzjt+jlKMCUozLiumVcDDwC4gAHwBeAQoTrz27lML4AY6P59yuQ73aL3S/bc7FUHgL8C/Af8NZFCUG1GUu6moGDag8fWWUyb26upqjhw5gmEYOBwODMPgo48+orq6useLmKaDTCaT77jsCw0NDaxdu5p161bT2NjIqFGj+MpX/oFrrrk236zU0wPRYNDT7WNzcgsohEIhwuEIbrebZBKSyWifX0N3VFYGS67ztBRjgtKMq7IySGvr9wkEHmxTOdGIEE9hGGtobNxCoTVYu/dJUYZRUZHstOxQCIV0uoaWlu7XK9V/u97FdFf2v7bY+5pUVaGiItDn3z9lYq+oqKCmpobVq1czd+5cVq9eTU1NTa/19b7y9tt7WLlyBdu2vYiu61xyySeZO3c+EydOst3G1vJuyeBwOCkvryQYDOJwlExFqKSkieP3P9ShHE5RUqjq3/B4niGZXFyk2OxBiCGkUjfgdq/t5BDRQzx+T1HiknSkR1nrm9/8JsuWLePHP/4xoVCI5cuXD2hQuq7z0ktbqa+vY/fut/B6fcyaNYfZs2sZMWKkrWsJIUinLbnF4/FSWTkUj8cnvc8lvWQb0PmZi6rGcbt/ddondrCqU1T1M2jaHwGRbRwyst7slxU7PEmWHiX2sWPH8swzzwx0LDQ1NbJu3VrWrl3F8ePHGT58BF/+8leYNm06Pp+9/s8n5Bby1S1ud+l5PkhOFzoeKLZFUfQCxTHQBGhuXoPD8Qaa9geECJBO34AQkWIHJmlDSegM+/btpb5+BVu2bEHXM1x00cX8wz/cw0UXXTwgckssZmCaBuXlQwgEQraPs5OciUzusjvSNL2kUvMLHM/AYhgXYhgXFjsMSRcULaPpus7vf/8y9fV17Ny5A4/Hw8yZ11NbO4+RI0fZupYlt1iTidxuD6NHjyKREFJukdhImHj8a/h8P0RR4vnvCuFEiEi23VwiKQwFT+zNzc2sX7+WNWtWcezYUYYNq+bOO7/MddfNwO+3dzqLaRqk05bcEgjkqls8hEJBUqnSOpmXnP7E4w9gmkPw+5ejKNZEr3R6BtHodxEiVOToJGcSBUvs77yzn/r6Ol54YTOZTIaJEyexZMlXueSSS21v9NH1DJmM5Qwp5RZJ4VBIJu8kmbwDRWlECD+l6NUtGfwUJNstX/44zz33HG63h+uum8GcOXMZPXqMrWtYo+bSmKaJ2+2mvLwSn88v5RZJEVDlyDZJUSlIYj969Bhf+MKdTJ8+k2DQ3q6zk+WWUMhqJpJmXBKJ5EylIIn9ySe/i2GYtj6n5d2SQVWdlJUNIRgM4nRqtq4hkUgkpyMFSeyq6rAlsefkFsMwcLvdDB1ajc8XkHKLRCKRtOG0OFFsO2rO7w8QDpfZMi5PIpFIBiMlndh1Xc/KLSqRSDmBQAhNk3KLRCKRdEfJJfa21S0ul4vKymH4/VJukUgkkp5SMoldyi0SiURiD0VP7Dm5RVFUwuEygsGwlFskEomkHxQlsVtySwbT1NE0t5RbJBKJxEYKmthPyC0mPl+QcDiCx+OVcotEIpHYSEESu2nqJBIJVFXJyi0hNM1ViKUlEonkjKMgiV0IGDq0Cp8vYLvhl0QikUjaU5DEXl09EiEKsZJEIpFICnJaKTV0iUQiKRyyDEUikUgGGTKxSyQSySBDJnaJRCIZZMjELpFIJIMMmdglEolkkCETu0QikQwyCjRBqfTKHWVMPaMUY4LSjEvG1DNkTKemv/EoQsjWIYlEIhlMSClGIpFIBhkysUskEskgQyZ2iUQiGWTIxC6RSCSDDJnYJRKJZJAhE7tEIpEMMmRil0gkkkGGTOwSiUQyyJCJXSKRSAYZtlkKLF++nA0bNnDgwAFWrVrFuHHjOn2cYRg8/vjjbNu2DUVRuPPOO1m4cKFdYbTj3XffZdmyZTQ1NRGJRFi+fDljxozp8LinnnqKX/3qVwwdOhSASZMm8eijjxYlnkLuT09jKtT+5OjJtVTofepJTIXep8bGRu677z7ef/99XC4Xo0eP5lvf+hbl5eXtHpdIJHjggQfYuXMnDoeD+++/n6lTpxY1pmXLlvHKK69QVlYGwMyZM/nyl788IDEBLFmyhA8//BBVVfH5fDz88MPU1NS0e0yhr6mextWn60rYxOuvvy4OHjwopk6dKvbs2dPl41asWCE+//nPC8MwxPHjx8WVV14pPvjgA7vCaMdtt90m6urqhBBC1NXVidtuu63Tx/3whz8UTzzxxIDE0Nt4Crk/PY2pUPuToyfXUqH3qScxFXqfGhsbxR/+8If810888YR44IEHOjzuqaeeEg8++KAQQoh3331XXH755SIajRY1pvvvv1/84he/GJAYOqOlpSX//5s2bRLz5s3r8JhCX1M9jasv15VtUszFF19MdXX1KR+3du1aFi5ciKqqlJeXc+2117J+/Xq7wshz/Phxdu3axezZswGYPXs2u3btoqGhwfa17IynUPvTm5gKTU+upULuU09jKjSRSIRLL700//XEiRM5ePBgh8etW7eORYsWATBmzBguuOACtm7dWtSYCk0wGMz/fzQa7XQOc6GvqZ7G1RcK4u7YlkOHDjF8+PD819XV1Rw+fHhA1qmqqsLhcADgcDgYOnQohw4d6vCxEGDNmjW89NJLVFZWsnTpUj7xiU8UJZ5C7U9vYoKB35/eUsh96g3F2ifTNPn1r3/NNddc0+FnBw8eZMSIEfmvC7VX3cUE8NOf/pSnn36aUaNGce+99zJ27NgBjeehhx7i5ZdfRgjBT37ykw4/L9Y1daq4oPfXVcETeymyaNEi7rrrLjRN4+WXX2bJkiWsXbs2r/+d6cj96RnF3KfHHnsMn8/HrbfeOuBr9ZTuYvr6179OZWUlqqpSV1fHHXfcwXPPPZe/yRgIvv3tbwNQV1fHk08+yX/+538O2Fq94VRx9eW66rMU8+yzzzJ37lzmzp1LfX19j3+vurq63UezQ4cOMWzYsL6G0WVMe/fu5ciRIxiGAVgHIx999FGnH6crKyvRNA2AyZMnU11dzd69e22JKUd1dXWP4hnI/elrTIXYn95SyH3qKcXap+XLl/O3v/2N73//+6hqxz/p4cOHc+DAgfzXhdirU8VUVVWV//68efOIx+MF+8Q1b948Xn31VRobG9t9v9jXVFdx9eW66nNi//SnP83KlStZuXIltbW1Pf69mTNn8swzz2CaJg0NDTz33HPMmDGjr2F0GdP8+fOpqalh9erVAKxevZqamppOZZgjR47k//+tt97iwIEDnH322bbElKOioqJH8Qzk/vQ1pkLsT28p5D71lGLs0/e+9z127NjBj370I1wuV6ePmTlzJk8//TQA7733Hm+++SZXXnllUWNqu1fbtm1DVVWqqqoGJJ5YLMahQ4fyXz///POEw2EikUi7xxX6muppXH26rvp5qJvnscceE1deeaWoqakRl19+ubjhhhvyP7vjjjvEG2+8IYQQQtd18cgjj4hp06aJadOmid/85jd2hdCBffv2iQULFojp06eLBQsWiP3793ca03333SdmzZol5syZI2688UaxZcuWgsZTrP3paUyF2p8cXV1LxdynnsRU6H16++23xbhx48T06dNFbW2tqK2tFUuWLBFCCFFbWysOHz4shBAiFouJpUuXimuvvVZMnz5dbNq0qegxffaznxWzZ88Wc+bMETfddJPYvn37gMV09OhRsXDhQjF79mxRW1srbrvtNrFjxw4hRHGvqZ7G1ZfrSk5QkkgkkkGG7DyVSCSSQYZM7BKJRDLIkIldIpFIBhkysUskEskgQyZ2iUQiGWTIxC6RSCSDDJnYJRKJZJAhE7tEIpEMMv4/GptOQVCqmosAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 分割平面对应的间隔\n",
    "xfit = np.linspace(-1, 3.5)\n",
    "plt.scatter(x[:, 0], x[:, 1], c=y, s=50, cmap='autumn')\n",
    "\n",
    "for m, b, d in [(1, 0.65, 0.33), (0.5, 1.6, 0.55), (-0.2, 2.9, 0.2)]:\n",
    "    yfit = m * xfit + b\n",
    "    plt.plot(xfit, yfit, '-k')\n",
    "    plt.fill_between(xfit,\n",
    "                     yfit - d,\n",
    "                     yfit + d,\n",
    "                     edgecolor='none',\n",
    "                     color='#AAAAAA',\n",
    "                     alpha=0.4)\n",
    "\n",
    "plt.xlim(-1, 3.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 模型获得的最佳支持向量\n",
    "\n",
    "from sklearn.svm import SVC\n",
    "model = SVC(kernel='linear', C=1E10)\n",
    "model.fit(x, y)\n",
    "\n",
    "\n",
    "def plot_svc_decision_function(model, ax=None, plot_support=True):\n",
    "    if ax is None:\n",
    "        ax = plt.gca()\n",
    "    xlim = ax.get_xlim()\n",
    "    ylim = ax.get_ylim()\n",
    "\n",
    "    x = np.linspace(xlim[0], xlim[1], 30)\n",
    "    y = np.linspace(ylim[0], ylim[1], 30)\n",
    "    y, x = np.meshgrid(y, x)\n",
    "    xy = np.vstack([x.ravel(), y.ravel()]).T\n",
    "    P = model.decision_function(xy).reshape(x.shape)\n",
    "\n",
    "    ax.contour(x,\n",
    "               y,\n",
    "               P,\n",
    "               colors='k',\n",
    "               levels=[-1, 0, 1],\n",
    "               alpha=0.5,\n",
    "               linestyles=['--', '-', '--'])\n",
    "\n",
    "    if plot_support:\n",
    "        ax.scatter(model.support_vectors_[:, 0],\n",
    "                   model.support_vectors_[:, 1],\n",
    "                   s=300,\n",
    "                   linewidth=1,\n",
    "                   facecolors='none')\n",
    "\n",
    "    ax.set_xlim(xlim)\n",
    "    ax.set_ylim(ylim)\n",
    "\n",
    "\n",
    "plt.scatter(x[:, 0], x[:, 1], c=y, s=50, cmap='autumn')\n",
    "plot_svc_decision_function(model, plot_support=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1728x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 调参，改变间隔\n",
    "x, y = make_blobs(n_samples=100, centers=2, random_state=0, cluster_std=0.8)\n",
    "\n",
    "fig, ax = plt.subplots(1, 2, figsize=(24, 10))\n",
    "fig.subplots_adjust(left=0.0625, right=0.95, wspace=0.1)\n",
    "\n",
    "for axi, C in zip(ax, [10, 0.1]):\n",
    "    model = SVC(kernel='linear', C=C).fit(x, y)\n",
    "    axi.scatter(x[:, 0], x[:, 1], c=y, s=100, cmap='autumn')\n",
    "    plot_svc_decision_function(model, axi)\n",
    "    axi.scatter(model.support_vectors_[:, 0],\n",
    "                model.support_vectors_[:, 1],\n",
    "                s=300,\n",
    "                lw=1,\n",
    "                facecolors='none')\n",
    "    axi.set_title('C={0:.1f}'.format(C), size=20)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 非线性SVM\n",
    "对于非线性可分的数据集：\n",
    "- 添加新特征，例如:原始数据 $x$, 添加多项式特征 $y=x^2$. 随后使用 `LinearSVC`\n",
    "- `Polynomial Kernel`.并没有实际添加多项式特征，但可以获得相同的效果\n",
    "    - 出现过拟合时，就减小 `degree` 参数，欠拟合就增大；`coef0` 控制高维多项式相对于低维对模型的影响。\n",
    "- `Gaussian RBF Kernel`\n",
    "    - `gamma` 参数越大，每个数据实例的影响范围越小，决策边界就越不规则；反之，边界越平滑。过拟合就减小 `gamma`，欠拟合就增大 `gamma`\n",
    "    \n",
    "\n",
    "计算复杂度：\n",
    "- `LinearSVC` 基于 `liblinear` ：$O(m×n)$ ; m为样本数，n为特征数\n",
    "- `SVC` 基于 `libsvm`，支持核技巧：$O(m^2×n)$ 和 $O(m^3×n)$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 新特征\n",
    "from sklearn.preprocessing import PolynomialFeatures\n",
    "\n",
    "# ploy 核技巧\n",
    "from sklearn.svm import SVC\n",
    "svm_clf = SVC(kernel='poly', degree=3, coef0=1, C=5)\n",
    "\n",
    "# Gaussian RBF Kernel\n",
    "from sklearn.svm import SVC\n",
    "svm_clf=SVC(kernel='rbf',gamma=5,coef0=1,C=0.001)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/yangbin7/anaconda3/lib/python3.7/site-packages/sklearn/svm/base.py:193: FutureWarning: The default value of gamma will change from 'auto' to 'scale' in version 0.22 to account better for unscaled features. Set gamma explicitly to 'auto' or 'scale' to avoid this warning.\n",
      "  \"avoid this warning.\", FutureWarning)\n",
      "/home/yangbin7/anaconda3/lib/python3.7/site-packages/ipykernel_launcher.py:17: UserWarning: The following kwargs were not used by contour: 'linetypes'\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 非线性 SVM\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn import svm\n",
    "\n",
    "xx, yy = np.meshgrid(np.linspace(-3, 3, 500), np.linspace(-3, 3, 500))\n",
    "\n",
    "np.random.seed(0)\n",
    "x = np.random.randn(300, 2)\n",
    "y = np.logical_xor(x[:, 0] > 0, x[:, 1] > 0)\n",
    "\n",
    "clf = svm.NuSVC()\n",
    "clf.fit(x, y)\n",
    "\n",
    "z = clf.decision_function(np.c_[xx.ravel(), yy.ravel()])\n",
    "z = z.reshape(xx.shape)\n",
    "\n",
    "plt.imshow(z,\n",
    "           interpolation='nearest',\n",
    "           extent=(xx.min(), xx.max(), yy.min(), yy.max()),\n",
    "           aspect='auto',\n",
    "           origin='lower',\n",
    "           cmap=plt.cm.PuOr_r)\n",
    "\n",
    "contours = plt.contour(xx, yy, z, levels=[0], linewidths=2, linetypes='--')\n",
    "plt.scatter(x[:, 0], x[:, 1], s=30, c=y, cmap=plt.cm.Paired, edgecolors='k')\n",
    "plt.xticks(())\n",
    "plt.yticks(())\n",
    "plt.axis([-3, 3, -3, 3])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 非线性可分数据与线性SVM\n",
    "\n",
    "from sklearn.datasets import make_circles\n",
    "x, y = make_circles(100, factor=.1, noise=.1)\n",
    "\n",
    "clf = SVC(kernel=\"linear\").fit(x, y)\n",
    "\n",
    "plt.scatter(x[:, 0], x[:, 1], c=y, s=40, cmap='autumn')\n",
    "plot_svc_decision_function(clf, plot_support=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/yangbin7/anaconda3/lib/python3.7/site-packages/sklearn/svm/base.py:193: FutureWarning: The default value of gamma will change from 'auto' to 'scale' in version 0.22 to account better for unscaled features. Set gamma explicitly to 'auto' or 'scale' to avoid this warning.\n",
      "  \"avoid this warning.\", FutureWarning)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x7f9b48b24610>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 核技巧实现非线性 SVM\n",
    "clf = SVC(kernel='rbf', C=1E6)\n",
    "clf.fit(x, y)\n",
    "\n",
    "plt.scatter(x[:, 0], x[:, 1], c=y, s=40, cmap='autumn')\n",
    "plot_svc_decision_function(clf)\n",
    "plt.scatter(clf.support_vectors_[:, 0],\n",
    "            clf.support_vectors_[:, 1],\n",
    "            s=300,\n",
    "            lw=1,\n",
    "            facecolors='none')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 示例：面部识别"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.datasets import fetch_lfw_people\n",
    "\n",
    "faces = fetch_lfw_people(min_faces_per_person=60)\n",
    "print(faces.target_names)\n",
    "print(faces.images.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "fig, ax = plt.subplots(3, 5)\n",
    "fig.set_size_inches(12, 8)\n",
    "for i, axi in enumerate(ax.flat):\n",
    "    axi.imshow(faces.images[i], cmap='bone')\n",
    "    axi.set(xticks=[], yticks=[], xlabel=faces.target_names[faces.target[i]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 先降维，然后输入到 SVM 模型中\n",
    "from sklearn.svm import SVC\n",
    "from sklearn.decomposition import PCA\n",
    "from sklearn.pipeline import make_pipeline\n",
    "\n",
    "pca = PCA(n_components=150,\n",
    "          svd_solver='randomized',\n",
    "          whiten=True,\n",
    "          random_state=42)\n",
    "svc = SVC(kernel='rbf', class_weight='balanced')\n",
    "model = make_pipeline(pca, svc)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 搜索最优参数\n",
    "from sklearn.model_selection import train_test_split\n",
    "\n",
    "xtrain, xtest, ytrain, ytest = train_test_split(faces.data,\n",
    "                                                faces.target,\n",
    "                                                random_state=42)\n",
    "\n",
    "from sklearn.grid_search import GridSearchCV\n",
    "\n",
    "param_grid = {\n",
    "    'svc__C': [1, 5, 10, 50],\n",
    "    'svc__gamma': [0.0001, 0.0005, 0.001, 0.005]\n",
    "}\n",
    "\n",
    "grid = GridSearchCV(model, param_grid)\n",
    "\n",
    "%time grid.fit(xtrain,ytrain)\n",
    "print(grid.best_params_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 最优模型预测结果\n",
    "model = grid.best_estimator_\n",
    "yfit = model.predict(xtest)\n",
    "\n",
    "fig, ax = plt.subplots(4, 6)\n",
    "fig.set_size_inches(12, 8)\n",
    "for i, axi in enumerate(ax.flat):\n",
    "    axi.imshow(xtest[i].reshape(62, 47), cmap='bone')\n",
    "    axi.set(xticks=[], yticks=[])\n",
    "    axi.set_ylabel(faces.target_names[yfit[i]].split()[-1],\n",
    "                   color='black' if yfit[i] == ytest[i] else 'red')\n",
    "\n",
    "fig.suptitle('Predicted Names;Incorrect Labels in Red', size=14)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.metrics import classification_report\n",
    "print(classification_report(ytest, yfit, target_names=faces.target_names))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.metrics import confusion_matrix\n",
    "import seaborn as sns\n",
    "mat = confusion_matrix(ytest, yfit)\n",
    "sns.heatmap(mat.T,\n",
    "            square=True,\n",
    "            annot=True,\n",
    "            fmt='d',\n",
    "            cbar=False,\n",
    "            xticklabels=faces.target_names,\n",
    "            yticklabels=faces.target_names)\n",
    "plt.xlabel('true labels')\n",
    "plt.ylabel('predicted labels')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 对比不同的 `kernel` 技巧"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/yangbin7/anaconda3/lib/python3.7/site-packages/sklearn/svm/base.py:929: ConvergenceWarning: Liblinear failed to converge, increase the number of iterations.\n",
      "  \"the number of iterations.\", ConvergenceWarning)\n",
      "/home/yangbin7/anaconda3/lib/python3.7/site-packages/sklearn/svm/base.py:193: FutureWarning: The default value of gamma will change from 'auto' to 'scale' in version 0.22 to account better for unscaled features. Set gamma explicitly to 'auto' or 'scale' to avoid this warning.\n",
      "  \"avoid this warning.\", FutureWarning)\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1440x864 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# LinearSVC minimizes the squared hinge loss\n",
    "# ____while SVC minimizes the regular hinge loss.\n",
    "# LinearSVC uses the One-vs-All (also known as One-vs-Rest) multiclass reduction\n",
    "# ____while SVC uses the One-vs-One multiclass reduction.\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn import svm, datasets\n",
    "\n",
    "\n",
    "def make_meshgrid(x, y, h=0.2):\n",
    "    x_min, x_max = x.min() - 1, x.max() + 1\n",
    "    y_min, y_max = y.min() - 1, y.max() + 1\n",
    "    xx, yy = np.meshgrid(np.arange(x_min, x_max, h),\n",
    "                         np.arange(y_min, y_max, h))\n",
    "    return (xx, yy)\n",
    "\n",
    "\n",
    "def plot_contour(ax, clf, xx, yy, **params):\n",
    "    z = clf.predict(np.c_[xx.ravel(), yy.ravel()])\n",
    "    z = z.reshape(xx.shape)\n",
    "    out = ax.contourf(xx, yy, z, **params)\n",
    "    return (out)\n",
    "\n",
    "\n",
    "iris = datasets.load_iris()\n",
    "x = iris.data[:, :2]\n",
    "y = iris.target\n",
    "\n",
    "c = 1.0\n",
    "models = (svm.SVC(kernel='linear', C=c), svm.LinearSVC(C=c),\n",
    "          svm.SVC(kernel='rbf', gamma=0.7,\n",
    "                  C=c), svm.SVC(kernel='poly', degree=3, C=c))\n",
    "models = (clf.fit(x, y) for clf in models)\n",
    "\n",
    "titles = ('SVC with linear kernels', 'LinearSVC(linear kernel)',\n",
    "          'SVC with RBF kernel', 'SVC with polynominal(degree 3) kernel')\n",
    "\n",
    "fig, sub = plt.subplots(2, 2, figsize=(20, 12))\n",
    "\n",
    "plt.subplots_adjust(wspace=0.4, hspace=0.4)\n",
    "\n",
    "x0, x1 = x[:, 0], x[:, 1]\n",
    "\n",
    "xx, yy = make_meshgrid(x0, x1)\n",
    "\n",
    "for clf, title, ax in zip(models, titles, sub.flatten()):\n",
    "    plot_contour(ax, clf, xx, yy, cmap=plt.cm.coolwarm, alpha=0.8)\n",
    "    ax.scatter(x0, x1, c=y, cmap=plt.cm.coolwarm, s=20, edgecolors='k')\n",
    "    ax.set_xlim(xx.min(), xx.max())\n",
    "    ax.set_ylim(yy.min(), yy.max())\n",
    "    ax.set_xlabel('Sepal length')\n",
    "    ax.set_ylabel('Sepal width')\n",
    "    ax.set_xticks(())\n",
    "    ax.set_yticks(())\n",
    "    ax.set_title(title)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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